Compute the impedance of a series R-L-C circuit at angular frequencies of ? 1 =

Question

Compute the impedance of a series R-L-C circuit at angular frequencies of ?1= 1000rad/s , ?2= 720rad/s and ?3= 465rad/s . Take R = 250? , L = 0.950H and C = 1.60?F . Enter your answers as three numbers separated with commas. Z1, Z2, Z3 =    ? Compute the impedance of a series R-L-C circuit at angular frequencies of ?1= 1000rad/s , ?2= 720rad/s and ?3= 465rad/s . Take R = 250? , L = 0.950H and C = 1.60?F . Enter your answers as three numbers separated with commas. Z1, Z2, Z3 =    ? Z1, Z2, Z3 =    ? Z1, Z2, Z3 =    ? Z1, Z2, Z3 =    ?

Explanation / Answer

at W1=1000 rad/s

Impedance

Z=sqrt[R^2+(WL-1/WC)^2]

Z1=sqrt[250^2+(1000*0.95-1/1000*(1/6*10^-6))^2]

Z1=410.03 ohms

at W2=720 rad/s

Z2=sqrt[250^2+(720*0.95-1/720*(1.6*10^-6))^2]

Z2=310.45 ohms

at W=465 rad/s

Z3=sqrt[250^2+(465*0.95-1/465*(1.6*10^-6))^2]

Z3=936.33 ohms

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